Sumários
Some important distributions of continuous random variables
23 Novembro 2015, 13:30 • Graça Leão Fernandes
The Uniform distribution:
- definition;
- probability density and cumulative distribution function;
- moment generating function - expected value and variance, coefficient of assymetry;
- probability integral transformation.
The Exponential distribution:
- relation with the Poisson Process;
- determination of the CDF and PDF based on a Poisson Process;
- expected value and its relationship with the intensity rate of a Poisson Process;
- variance;
- property of lack of memory.
Distributions of discrete random variables: Bernoulli, binomial and Poisson
19 Novembro 2015, 15:30 • Graça Leão Fernandes
Exercises of chapter 4 nºs: 1, 2, 3, 5, 11, 13, 16, 17.
3rd mini test
Some distributions of discrete random variables - The Poisson distribution
18 Novembro 2015, 15:30 • Graça Leão Fernandes
The Poisson distribution:
- Assumptions of a Poisson Process;
- Definition of a random variable that follows a Poisson distribution;
- Interpretation of the distribution parameter;
- Finding the pdf of a random variable following a Poisson distribution from the Binomial distribution;
- Aditivity theorem;
- Computing probabilities using calculators and tables;
- Examples.
Discrete random variables distributions: Uniform discrete, Bernoulli and Binomial.
16 Novembro 2015, 13:30 • Graça Leão Fernandes
Discrete random variables distributions:
- Uniform discrete: definition, probability function,moment generating function, moments about the origin and about the mean.
- Bernoulli: definition, probability function,moment generating function, moments about the origin and about the mean.
- Binomial: definition, probability function,moment generating function, moments about the origin and about the mean. Computing probabilities using the calculator or the table.